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Finding the Fourth Proportional to 5,859.79, 8,789.64 and 1,964.17

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Solution

The fourth proportional to 5,859.79, 8,789.64 and 1,964.17 is: 2,946.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,859.79 : 8,789.64 = 1,964.17 : x
  2. Step 2: Convert to fraction form
    5,859.79/8,789.64 = 1,964.17/x
  3. Step 3: Cross multiply
    5,859.79x = 8,789.64 × 1,964.17
  4. Step 4: Simplify right side
    5,859.79x = 17,264,347.20
  5. Step 5: Solve for x
    x = 17,264,347.20/5,859.79
  6. Step 6: Final answer
    x = 2,946.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.